The properties , structures , classifications , homomorphism and isomorphism of all kinds of hx ring have been considered in the paper [ 1 ] 文分别研究了正规幂环和一致幂环。文研究了各种幂环的性质，结构，分类和同态，同构关系。
In the paper [ 5 ] , the concept of fuzzy power group was raised and in paper [ 8 ] [ 9 ] the structure and homomorphism of fuzzy power group was considered 文提出fuzzy幂群的概念讨论了fuzzy幂群的结构及其同态问题。文分别讨论了fuzzy幂群的性质，结构及分类。
The database information encryption algorithms based on the theory of private homomorphism is structured based on the mathematic theory of polynomial homomorphism 以数学中多项式同志理论为基础，研究了秘密同态加密算法。提出了基于秘密同态理论的数据库信息加密算法。
In this paper , we use the methods and techinques of the matrix calculus etc . to determine the form of homomorphism of group from psln ( f ) to psln ( k ) with n 3 ( f , k be fields ) 本文是在文献[ 19 ] ， [ 20 ]研究的基础上继续研究，确定了特征为2的域上同维射影特殊线性群的非平凡同态的具体形式。
Functionalism of sociology ( or named social system theory ) and systems science and philosophy have isoembryo relation on basis and homomorphism relation in form and isomorphic relation in contents 社会学中的结构功能主义(又称社会系统理论)与系统科学和系统哲学有着基础上同胚，形式上同态和内容上同构的联系。
This paper first illustrated a classification of congruence decomposition on n ( 2 , 2 , 0 ) algebra , then discussed the algebraic structure of the quotient algebra and a classification of converse image under the natural homomorphism 摘要对n ( 2 , 2 , 0 )代数给出了一类同余分解，探讨了其商代数的代数结构以及自然同态下一类逆象的代数结构。
In some finiteness conditions , we prove that there exists a natural abelian group homomorphism from the grothendieck group of r to the grothendieck group of a . in particular , the homomorphism is splitting if p is quasi - n - tilting 在适当的有限性条件下，我们证明了一个从r的grothendieck群到a的orothendieck群的自然的阿贝尔群同态。
In section four , by researching the properties of kneser graphs , we construct the homomorphism between the kneser graph and the outerplane graph . so the fr actional chromatic number and chromatic number are obtained 在第四部分中通过对kneser图的一些性质的考察，在kneser图与外平面图之间建立同态关系，从而得到了外平面图的分数色数与顶点色数。
In chapter 1 , we introduce some terminology and notation , and summarize the back - ground and the main contents of this paper . in chapter 2 . we discuss the order homomorphisms and preannihilators of reflexive modules over reflexive operator algebras 设a是hilbert空间h上的自反算子代数， u是任一自反a -模，用u _表示u在迹类算子空间t ( h )中的预零化子。
In this article , we give out that the homomorphism between vertex algebras can uniquely induce the homomorphism between local vertex lie algebras which are constructed from the vertex algebra 摘要进一步讨论局部顶点李代数同态与顶点代数同态之间的关系。受到文[ 5 ]中定理6 . 5的启发，证明了顶点代数之间的同态可惟一地诱导出由它们构造所得的局部顶点李代数之间的同态。
